206133552 has 80 divisors (see below), whose sum is σ = 593712000. Its totient is φ = 68475456.

The previous prime is 206133541. The next prime is 206133559. The reversal of 206133552 is 255331602.

206133552 is a `hidden beast` number, since 20 + 61 + 33 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (206133559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163099 + ... + 164357.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2^206133552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206133552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856000).

206133552 is an abundant number, since it is smaller than the sum of its proper divisors (387578448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206133552 is a wasteful number, since it uses less digits than its factorization.

206133552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 206133552 is about 14357.3518449608. The cubic root of 206133552 is about 590.7216602696.

The spelling of 206133552 in words is "two hundred six million, one hundred thirty-three thousand, five hundred fifty-two".